Liz Cheney, one of the daughters of former Vice President Dick Cheney, was named the winner in a primary for an at-large House of Representatives seat in Wyoming.
The race included nine candidates, and was vacated when GOP Rep. Cynthia Lummis announced she would not run again.
Dick Cheney held the position from 1979 to 1989.
Liz Cheney practiced law and served in the State Department. She is the co-founder of the nonprofit Alliance for a Strong America, according to her website.
She has also co-written books with her father, including "Exceptional: Why the World Needs a Powerful America."
Liz Cheney supports Donald Trump for president, saying, "We've got to unify behind him and make sure Hillary Clinton's not elected."
In an interview on Rush Limbaugh's syndicated radio show on Friday, Cheney called Clinton a "felon" and said "there is just a level of slime and sleaze associated with the Clinton family, and we know in Wyoming we've got to do everything possible to make sure they never get anywhere near the Oval Office."
Cheney posted a photo with her father along with a message to her supporters on her Twitter account.
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